Ample vector bundles and branched coverings
Algebraic Geometry
2007-05-23 v1
Abstract
Given a covering f: X \to Y of projective manifolds, we consider the vector bundle E on Y given as the dual of f_*(\O_X) / \O_Y. This vector bundles often has positivity properties, e.g. E is ample when Y is projective space by a theorem of Lazarsfeld. In general however E will not be ample due to the geometry of Y. We prove various results when E is spanned, nef or generically nef, under some assumptions on the base Y.
Cite
@article{arxiv.math/9907081,
title = {Ample vector bundles and branched coverings},
author = {Thomas Peternell and Andrew J. Sommese},
journal= {arXiv preprint arXiv:math/9907081},
year = {2007}
}
Comments
LaTeX2e, 26 pages